While I quite agree with Supreme that many governments would hesitate to use free-lance superheroes, I also suspect that many nations (if not most) would have superheroes in their military forces. In some countries superheroes might be required to work for the government under penalty of law. For example, while I find it very unlikely that China or Syria would tolerate freelance heroes, America might well have superhero SEAL detachments and Powered Armor-clad Secret Service agents guarding the White House.
Now for a more philosophical question: If a character is seen as a hero in his country (Fights street crime, rescues kitties stuck in trees, supports local charities, etc.), but his country is seen as villainous by the rest of the world, is he considered a supervillain or a superhero? How would the rest of the world view Bagdad Bob, Saddam's personal superhero bodyguard? How would Hauptmann Hakenkreutz, the official hero of Nazi Germany, be viewed today?